RD Sharma Class 11 Maths Solutions Chapter 2 - Relations

If (x + 1, 1) = (3y, y - 1), find the values of x and y.

If the ordered pairs (x, - 1) and (5, y) belong to the set {(a, b): b = 2a - 3}, find the values of x and y.

If a ∈ { - 1, 2, 3, 4, 5} and b ∈ {0, 3, 6}, write the set of all ordered pairs (a, b) such that a + b = 5.

If a ∈ {2, 4, 6, 9} and b ∈{4, 6, 18, 27}, then form the set of all ordered pairs (a, b) such that a divides b and a<b.

If A = {1, 2} and B = {1, 3}, find A x B and B x A.

Let A = {1, 2, 3} and B = {3, 4}. Find A x B and show it graphically

If A = {1, 2, 3} and B = {2, 4}, what are A x B, B x A, A x A, B x B, and (A x B) ∩ (B x A)?

If A and B are two sets having 3 elements in common. If n(A) = 5, n(B) = 4, find n(A x B) and n[(A x B) ∩ (B x A)].

Let A and B be two sets. Show that the sets A x B and B x A have an element in common if the sets A and B be two sets such that n (A) = 3 and n (B) = 2.